All categories

3 years ago

3^x= 21875. What is the value of X?

Mathematics

2 answers:

horsena [70]3 years ago

8 0

Answer:

If,

${3}^{x} = 2187 \\ = > x = 7 \\ = = = = = = =$

But 3^x ≠ 21875,if x is a whole number.

<h2>HOPE U UNDERSTOOD</h2><h3>THANKS★</h3><h3>Any doubts?COMMENT PLEASE</h3>

sweet [91]3 years ago

3 0

Answer: x = log10(21875)/log10(3)

Step-by-step explanation:

3x=21875

3 to the power of x equals 21875

Take the log of both sides

log10(3x)=log10(21875)

Rewrite the left side of the equation using the rule for the log of a power

x•log10(3)=log10(21875)

Then, Isolate the variable x by dividing both sides by the constant term log10(3)

x = log10(21875)/log10(3)

You might be interested in

If x and y are positive numbers xy = 96 what is the value of x

Sunny_sXe [5.5K]

The value of x is 96/y where <u>y is not equal to zero.</u>

Given the expression that relates x and y as xy = 96

We are told that x and y are positive numbers. To get the value of x, we will divide both sides by y as shown:

$xy = 96\\\frac{xy}{y} =\frac{96}{y} \\x = \frac{96}{y} \\$

From the result, we can conclude that the value of x is 96/y where <u>y is not equal to zero.</u>

Learn more on functions here: brainly.com/question/17431959

7 0

3 years ago

Lauryn wants to analyze the weights of

V125BC [204]

Answer: 33

If you put all the numbers In order from least to greatest and find the middle number you'll get the answer

3 0

3 years ago

What us the value of (-7+3i)-(2-6i)<br><br>a. -9+9i<br>b.-9-3<br>c.-5-3i<br>d.-5+9i

WITCHER [35]

The answer is A. -9+9i

6 0

4 years ago

An expression is given that has a value between 4.44.4 and 4.54.5, and where xx represents an integer. \sqrt{x}+\sqrt{x} x

musickatia [10]

Answer:

$x = 5$

Step-by-step explanation:

Given

$\sqrt x + \sqrt x = (4.4,4.5)$

Required

Find x

When the result is 4.4, we have:

$\sqrt x + \sqrt x = 4.4$

This gives:

$2\sqrt x = 4.4$

Divide both sides by 2

$\sqrt x = 2.2$

Square both sides

$x = 2.2^2$

$x = 4.84$

When the result is 4.5, we have:

$\sqrt x + \sqrt x = 4.5$

$2\sqrt x = 4.5\\$

Divide both sides by 2

$\sqrt x = 2.25$

Square both sides

$x = 2.25^2$

$x = 5.0625$

So, the value of x is between 4.84 and 5.0625

i.e.

$x = (4.84,5.0625)$

The only integer between the above interval is 5.

Hence:

$x = 5$

5 0

3 years ago

In a triangle XYZ, AB is a midsegment. Find the length of AB.

hammer [34]

Answer:

Option A. $AB=25\ units$

Step-by-step explanation:

step 1

Find the value of x

we know that

If AB is a mid-segment, then AB is parallel to YZ

Triangles AXB and YXZ are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

$\frac{YZ}{AB}=\frac{YX}{AX}$

we have that

$AB=\frac{1}{2}YZ$ ----> by Midpoint Theorem

$YZ=2AB$

substitute the given values in the expression above

$\frac{2AB}{AB}=\frac{22+2x+2}{2x+2}$

solve for x

$2=\frac{24+2x}{2x+2}$

Multiply by (2x+2) both sides

$4x+4=2x+24$

Group terms

$4x-2x=24-4$

$2x=20$

$x=10$

step 2

Find the length of AB

$AB=3x-5$

substitute the value of x

$AB=3(10)-5=25\ units$

3 0

4 years ago